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Finding the Fourth Proportional to 630,299.45, 945,457.40 and 209,575.32

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Solution

The fourth proportional to 630,299.45, 945,457.40 and 209,575.32 is: 314,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,299.45 : 945,457.40 = 209,575.32 : x
  2. Step 2: Convert to fraction form
    630,299.45/945,457.40 = 209,575.32/x
  3. Step 3: Cross multiply
    630,299.45x = 945,457.40 × 209,575.32
  4. Step 4: Simplify right side
    630,299.45x = 198,144,536,103.49
  5. Step 5: Solve for x
    x = 198,144,536,103.49/630,299.45
  6. Step 6: Final answer
    x = 314,365.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.